|
This article is cited in 43 scientific papers (total in 43 papers)
Stable exact solutions in cosmological models with two scalar fields
I. Ya. Aref'evaa, N. V. Bulatovb, S. Yu. Vernovc a Steklov Mathematical Institute, RAS, Moscow, Russia
b Lomonosov Moscow State University, Moscow, Russia
c Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow, Russia
Abstract:
We consider the stability of isotropic solutions for two-field models in the Bianchi I metric. We prove that the sufficient conditions for Lyapunov stability in the Friedmann–Robertson–Walker metric ensure the stability under anisotropic perturbations in the Bianchi I metric and also under perturbations of the energy density for cold dark matter. We find sufficient conditions for the Lyapunov stability of isotropic fixed points for the system of Einstein equations. We use the superpotential method to construct stable kink-type solutions and obtain sufficient conditions on the superpotential for the Lyapunov stability of the corresponding exact solutions. We analyze the stability of isotropic kink-type solutions for models related to string field theory.
Keywords:
cosmology, stability, Bianchi metric.
Citation:
I. Ya. Aref'eva, N. V. Bulatov, S. Yu. Vernov, “Stable exact solutions in cosmological models with two scalar fields”, TMF, 163:3 (2010), 475–494; Theoret. and Math. Phys., 163:3 (2010), 788–803
Linking options:
https://www.mathnet.ru/eng/tmf6516https://doi.org/10.4213/tmf6516 https://www.mathnet.ru/eng/tmf/v163/i3/p475
|
Statistics & downloads: |
Abstract page: | 933 | Full-text PDF : | 214 | References: | 60 | First page: | 13 |
|